Ambassador Suites Inc. operates a downtown hotel property that has $300$ rooms. On average, $80\%$ of Ambassador Suites' rooms are occupied on weekdays, and $40\%$ are occupied during the weekend. The manager has asked you to develop a budget for the housekeeping and restaurant staff for weekdays and weekends. You have determined that the housekeeping staff requires $30$ minutes to clean each occupied room. The housekeeping staff is paid $$15$ per hour. The housekeeping labor cost is fully variable to the number of occupied rooms. The restaurant has six full$-$time staff on duty to staff the restaurant for breakfast and lunch $($eight hours$),$ regardless of occupancy. However, for every $60$ occupied rooms, an additional person is brought in to work in the restaurant for breakfast and lunch $($eight hours$).$ The restaurant staff is paid $$13$ per hour.

Prepare two columns, labeled as weekday and weekend day.

a$.$ Determine the number of rooms occupied for an average weekday and weekend day.

b$.$ Determine the housekeeping staff budget for an average weekday and weekend day.

c$.$ Determine the restaurant staff budget for an average weekday and weekend day.

d$.$ Determine the total staff budget for an average weekday and weekend day.